Search a number
-
+
10040004711 = 32112918111931
BaseRepresentation
bin10010101100110111…
…00101000001100111
3221220201001002021100
421112123211001213
5131030220122321
64340132051143
7503541426522
oct112633450147
927821032240
1010040004711
114292359160
121b42463ab3
13c400861b9
146b35b7bb9
153db661326
hex2566e5067

10040004711 has 48 divisors (see below), whose sum is σ = 16383669120. Its totient is φ = 5868744000.

The previous prime is 10040004679. The next prime is 10040004731. The reversal of 10040004711 is 11740004001.

10040004711 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10040004711 - 25 = 10040004679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10040004731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5198416 + ... + 5200346.

It is an arithmetic number, because the mean of its divisors is an integer number (341326440).

Almost surely, 210040004711 is an apocalyptic number.

10040004711 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10040004711 is a deficient number, since it is larger than the sum of its proper divisors (6343664409).

10040004711 is a wasteful number, since it uses less digits than its factorization.

10040004711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 10040004711 its reverse (11740004001), we get a palindrome (21780008712).

The spelling of 10040004711 in words is "ten billion, forty million, four thousand, seven hundred eleven".

Divisors: 1 3 9 11 29 33 87 99 261 319 957 1811 1931 2871 5433 5793 16299 17379 19921 21241 52519 55999 59763 63723 157557 167997 179289 191169 472671 503991 577709 615989 1733127 1847967 3497041 5199381 5543901 10491123 31473369 38467451 101414189 115402353 304242567 346207059 912727701 1115556079 3346668237 10040004711